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Almost Periodic Solution for an Epidemic Prey-Predator System with Impulsive Effects and Multiple Delays
2015
Discrete Dynamics in Nature and Society
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A nonautonomous epidemic prey-predator system with impulsive effects and multiple delays is considered; further, there is an epidemic disease in the predator. By the mean-value theorem of multiple variables, integral inequalities, differential inequalities, and other mathematical analysis skills, sufficient conditions which guarantee the permanence of the system are obtained. Furthermore, by constructing a series of Lyapunov functionals it is proved that there exists a unique uniformly
doi:10.1155/2015/486463
fatcat:2jjwwrqt75ft7kquswc7lbvyqy